15.5k views
1 vote
find the probability of exactly two successes in five trials of a binomial experiment in which the probability of success is 50%

User PyjamaSam
by
7.2k points

2 Answers

0 votes

Answer:31.3%

Explanation:

User Sankara
by
6.3k points
5 votes

ANSWER: 31.25%

Explaination:

Suppose (x+y)
(x+y)^(5) is the binomial distribution with 5 trials. Given that, probability of exactly two success in five trials of a binomial experiment in which the probability of success is 50%.

So, x = 0.5 and y = 0.5

The term

5C2*x²*y³ representing 2 successes and 3 failures.

Now find the value of this term.

5C2*(0.5)²*(0.5)³ =
(5!)/(2!3!)*
(0.5)^(5)

=10*0.03125

= 31.25%

User Charlee
by
6.3k points